化简1-x-y/x+2y÷x^2-y^2/x^2+4xy+4y^2
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化简1-x-y/x+2y÷x^2-y^2/x^2+4xy+4y^2
![化简1-x-y/x+2y÷x^2-y^2/x^2+4xy+4y^2](/uploads/image/z/19695769-25-9.jpg?t=%E5%8C%96%E7%AE%801-x-y%2Fx%2B2y%C3%B7x%5E2-y%5E2%2Fx%5E2%2B4xy%2B4y%5E2)
1-(x-y)/(x+2y)÷(x²-y²)/(x²+4xy+4y²)
=1-(x-y)/(x+2y)÷[(x+y)(x-y)]/(x+2y)²
=1-(x-y)/(x+2y)×(x+2y)²/[(x+y)(x-y)]
=1-(x+2y)/(x+y)
=[(x+y)-(x+2y)]/(x+y)
=-y/(x+y)
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=1-(x-y)/(x+2y)÷[(x+y)(x-y)]/(x+2y)²
=1-(x-y)/(x+2y)×(x+2y)²/[(x+y)(x-y)]
=1-(x+2y)/(x+y)
=[(x+y)-(x+2y)]/(x+y)
=-y/(x+y)
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